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Using direct simulations of hydromagnetic turbulence driven by random polarized waves it is shown that dynamo action is possible over a wide range of magnetic Prandtl numbers from 10−3 to 1. Triply periodic boundary conditions are being used. In the final saturated state the resulting magnetic field has a large-scale component of Beltrami type. For the kinematic phase, growth rates have been de...

Many environmental flows arise due to natural convection at a vertical surface, from in buildings dissolving ice faces marine-terminating glaciers. We use three-dimensional direct numerical simulations of channel with differentially heated walls investigate such convective, turbulent boundary layers. Through the implementation multiple-resolution technique, we are able perform wide range Prandt...

Bounds are derived for rotating Rayleigh–Bénard convection with free slip boundaries as a function of the Rayleigh, Taylor and Prandtl numbers ${\textit {Ra}}$ , {Ta}}$ {Pr}}$ . At infinite {Ta}} > 130$ Nusselt number {Nu}}$ obeys {Nu}} \leqslant \frac {7}{36} \left ({4}/{{\rm \pi} ^2} \right )^{1/3} {\textit {Ra}} {Ta}}^{-1/3}$ whereas kinetic energy density $E_{kin}$ $E_{kin} ({7}/{72 {\rm...